2) Consider the function: f(t) = 0, e-kt, 0 ≤ t < 1 1 ≤t. A) Use the definition to find F(s) = L{f(t)}, where k is a constant. B) What value of k makes F(5) zero? Explain your answer.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 18E
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Question
2)
Consider the function:
f(t) =
0,
Le-kt,
0 ≤ t < 1
1 ≤t.
A) Use the definition to find F(s) = L{f(t)},
where k is a constant.
B) What value of k makes F(5) zero? Explain
your answer.
Transcribed Image Text:2) Consider the function: f(t) = 0, Le-kt, 0 ≤ t < 1 1 ≤t. A) Use the definition to find F(s) = L{f(t)}, where k is a constant. B) What value of k makes F(5) zero? Explain your answer.
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